It would be extremely rare for her to need the removal of both tubes. Cancer aside, which they would've mentioned as a possibility, not a vague "finding out what she's suffering from," which would most likely be a hysterosalpingo-oophorectomy, and leave no chance whatsoever of conceiving.
Once both tubes are removed, while it is theoretically possible to conceive it's so rare as to be considered "virtually" impossible. One in maybe a ten billion chance, but we had one patient who had an ovary on one side with no tube, and a tube on the other side with no ovary and still conceived. Completely inexplicable, and I'm absolutely certain I'd never see it again even if I lived to be 500 years old.